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Simplifying 9X2 + 15X + 52 = X Reorder the terms: 52 + 15X + 9X2 = X Solving 52 + 15X + 9X2 = X Solving for variable 'X'. Reorder the terms: 52 + 15X + -1X + 9X2 = X + -1X Combine like terms: 15X + -1X = 14X 52 + 14X + 9X2 = X + -1X Combine like terms: X + -1X = 0 52 + 14X + 9X2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 5.777777778 + 1.555555556X + X2 = 0 Move the constant term to the right: Add '-5.777777778' to each side of the equation. 5.777777778 + 1.555555556X + -5.777777778 + X2 = 0 + -5.777777778 Reorder the terms: 5.777777778 + -5.777777778 + 1.555555556X + X2 = 0 + -5.777777778 Combine like terms: 5.777777778 + -5.777777778 = 0.000000000 0.000000000 + 1.555555556X + X2 = 0 + -5.777777778 1.555555556X + X2 = 0 + -5.777777778 Combine like terms: 0 + -5.777777778 = -5.777777778 1.555555556X + X2 = -5.777777778 The X term is 1.555555556X. Take half its coefficient (0.777777778). Square it (0.6049382720) and add it to both sides. Add '0.6049382720' to each side of the equation. 1.555555556X + 0.6049382720 + X2 = -5.777777778 + 0.6049382720 Reorder the terms: 0.6049382720 + 1.555555556X + X2 = -5.777777778 + 0.6049382720 Combine like terms: -5.777777778 + 0.6049382720 = -5.172839506 0.6049382720 + 1.555555556X + X2 = -5.172839506 Factor a perfect square on the left side: (X + 0.777777778)(X + 0.777777778) = -5.172839506 Can't calculate square root of the right side. The solution to this equation could not be determined.
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